Question

Use the properties of exponents to simplify the following expressions

1. 5³⋅5⁴

5⁷
5¹²
5⁻¹
5

2. (2⁸)²

2¹⁶
2⁶
2¹⁰
2⁴

3. Anything raised to a power of zero is always:

0
itself
1
negative

4. n²⋅n⁴⋅n⁵

n²²
n¹³
n⁴⁰
n¹¹

5. 8⁷ ⁄ 8²

8⁵
8¹⁴
8⁹
1⁵

6. 3⁻⁴

3^4
-3^4
1 ⁄ 3^4
1 ⁄ 12

7. 7⁰

0
7
-7
1

8. Fill in the blank with the correct exponent to make the statement true.
3^16 = (3^8)(3^_ )

2
4
8
1

9.Which is equivalent to 5 x 5 x 5 x 5

5^3
4^5
5^4
5^5

10. Which is equivalent to 3^4Respuesta necesaria. Opción única.

27
81
9
12

Answer 1

Answer:

Below in bold

Step-.by-step explanation:

1.  5 ^(3+4) = 5^7.

2.  2^(8*2) = 2^16.

3.   1.

4.   n^11

5.  8^(7-2) = 8^5.

6.  1 / 3^4.

7.  7.

8. 8.

9.  5^4.

10. 81.

Answer 2

1) 5³ • 5⁴
= 5³+⁴
= 5⁷

2) (2⁸)²

= 2⁸ײ
= 2¹⁶

3) anything raised to a power of zero is always 1

4) n² • n⁴ • n⁵

= n²+⁴+⁵
= n¹¹


5) 8⁷/8²

= 8⁷-² = 8⁵

6)
3-⁴ =
1/3⁴


7) 7⁰ = 1


8)
3¹⁶ = (3⁸) (3*)

16-8 = 8

9) 5×5×5×5 = 5⁴

10) 3⁴ = 3×3×3×3 = 9×9 = 81